Combining Texts

All the ideas for 'works', 'On boundary numbers and domains of sets' and 'Has Philosophy Lost Contact with People?'

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7 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
Inspiration and social improvement need wisdom, but not professional philosophy [Quine]
1. Philosophy / D. Nature of Philosophy / 6. Hopes for Philosophy
For a good theory of the world, we must focus on our flabby foundational vocabulary [Quine]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Zermelo made 'set' and 'member' undefined axioms [Zermelo, by Chihara]
For Zermelo's set theory the empty set is zero and the successor of each number is its unit set [Zermelo, by Blackburn]
Zermelo showed that the ZF axioms in 1930 were non-categorical [Zermelo, by Hallett,M]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
Replacement was added when some advanced theorems seemed to need it [Zermelo, by Maddy]
5. Theory of Logic / L. Paradox / 3. Antinomies
The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]